Advanced Calculus, An Introduction To Mathematical Analysis

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A01=Samuel Zaidman
Author_Samuel Zaidman
Category=PBC
Category=PBKA
Continuous Functions
Convex Functions
Derivatives
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eq_isMigrated=2
eq_nobargain
Integration
Metric Spaces
Numbers
Sequences
Series

Product details

  • ISBN 9789810227043
  • Publication Date: 07 Aug 1997
  • Publisher: World Scientific Publishing Co Pte Ltd
  • Publication City/Country: SG
  • Product Form: Hardback
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This book is an introduction to mathematical analysis (i.e real analysis) at a fairly elementary level. A great (unusual) emphasis is given to the construction of rational and then of real numbers, using the method of equivalence classes and of Cauchy sequences. The text includes the usual presentation of: sequences of real numbers, infinite numerical series, continuous functions, derivatives and Riemann-Darboux integration. There are also two “special” sections: on convex functions and on metric spaces, as well as an elementary appendix on Logic, Set Theory and Functions. We insist on a rigorous presentation throughout in the framework of the classical, standard, analysis.

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